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We study the stability of posterior predictive inferences to the specification of the likelihood model and perturbations of the data generating process. In modern big data analyses, useful broad structural judgements may be elicited from…

统计方法学 · 统计学 2024-04-30 Jack Jewson , Jim Q. Smith , Chris Holmes

As Basu (1977) writes, "Eliminating nuisance parameters from a model is universally recognized as a major problem of statistics," but after more than 50 years since Basu wrote these words, the two mainstream schools of thought in statistics…

统计方法学 · 统计学 2023-09-26 Ryan Martin

This paper develops a unified estimation framework, the Maximum Ideal Likelihood Estimation (MILE), for general parametric models with latent variables. Unlike traditional approaches relying on the marginal likelihood of the observed data,…

统计理论 · 数学 2025-10-08 Yizhou Cai , Ting Fung Ma

This paper develops a variance estimation framework for matching estimators that enables valid population inference for treatment effects. We provide theoretical analysis of a variance estimator that addresses key limitations in the…

统计方法学 · 统计学 2025-06-16 Xiang Meng , Aaron Smith , Luke Miratrix

Many probabilistic models that have an intractable normalizing constant may be extended to contain covariates. Since the evaluation of the exact likelihood is difficult or even impossible for these models, score matching was proposed to…

统计理论 · 数学 2022-03-21 Jiazhen Xu , Janice L. Scealy , Andrew T. A. Wood , Tao Zou

Graphical models use graphs to compactly capture stochastic dependencies amongst a collection of random variables. Inference over graphical models corresponds to finding marginal probability distributions given joint probability…

机器学习 · 统计学 2013-04-02 Divyanshu Vats , José M. F. Moura

Variational Bayesian posterior inference often requires simplifying approximations such as mean-field parametrisation to ensure tractability. However, prior work has associated the variational mean-field approximation for Bayesian neural…

机器学习 · 计算机科学 2022-10-07 Richard Kurle , Ralf Herbrich , Tim Januschowski , Yuyang Wang , Jan Gasthaus

Pre-trained machine learning (ML) predictions have been increasingly used to complement incomplete data to enable downstream scientific inquiries, but their naive integration risks biased inferences. Recently, multiple methods have been…

统计方法学 · 统计学 2025-11-12 Xingran Chen , Tyler McCormick , Bhramar Mukherjee , Zhenke Wu

In Generalised Bayesian Inference (GBI), the learning rate and hyperparameters of the loss must be estimated. These inference-hyperparameters can't be estimated jointly with the other parameters, from the data, by giving them a prior.…

统计方法学 · 统计学 2026-05-18 Jeong Eun Lee , Sitong Liu , Geoff K. Nicholls

Generalized linear models are flexible tools for the analysis of diverse datasets, but the classical formulation requires that the parametric component is correctly specified and the data contain no atypical observations. To address these…

统计方法学 · 统计学 2023-04-21 Ioannis Kalogridis , Gerda Claeskens , Stefan Van Aelst

Network datasets appear across a wide range of scientific fields, including biology, physics, and the social sciences. To enable data-driven discoveries from these networks, statistical inference techniques like estimation and hypothesis…

统计方法学 · 统计学 2026-02-19 Arpan Kumar , Minh Tang , Srijan Sengupta

The modeling of probability distributions, specifically generative modeling and density estimation, has become an immensely popular subject in recent years by virtue of its outstanding performance on sophisticated data such as images and…

机器学习 · 统计学 2023-01-02 Hongkang Yang

We propose and implement an approach to inference in linear instrumental variables models which is simultaneously robust and computationally tractable. Inference is based on self-normalization of sample moment conditions, and allows for…

计量经济学 · 经济学 2022-11-29 Eric Gautier , Christiern Rose

Deep latent variable models learn condensed representations of data that, hopefully, reflect the inner workings of the studied phenomena. Unfortunately, these latent representations are not statistically identifiable, meaning they cannot be…

机器学习 · 统计学 2025-06-02 Stas Syrota , Yevgen Zainchkovskyy , Johnny Xi , Benjamin Bloem-Reddy , Søren Hauberg

Combined inference for heterogeneous high-dimensional data is critical in modern biology, where clinical and various kinds of molecular data may be available from a single study. Classical genetic association studies regress a single…

应用统计 · 统计学 2017-03-22 Hélène Ruffieux , Anthony C. Davison , Jörg Hager , Irina Irincheeva

We propose a simple approach that provides accurate uncertainty quantification for Bayesian inference in misspecified or approximate models, and for generalized (Gibbs) posteriors. While existing solutions in this context are based on…

统计方法学 · 统计学 2026-03-11 David T. Frazier , Christopher Drovandi , Robert Kohn

The global inducing point variational approximation for BNNs is based on using a set of inducing inputs to construct a series of conditional distributions that accurately approximate the conditionals of the true posterior distribution. Our…

机器学习 · 统计学 2023-10-25 Matthew Ashman , Tommy Rochussen , Adrian Weller

In the social sciences we are often interested in comparing models specified by parametric equality or inequality constraints. For instance, when examining three group means $\{ \mu_1, \mu_2, \mu_3\}$ through an analysis of variance…

统计方法学 · 统计学 2025-01-08 Guido Consonni , Roberta Paroli

In systematic reviews and meta-analysis, researchers often pool the results of the sample mean and standard deviation from a set of similar clinical trials. A number of the trials, however, reported the study using the median, the minimum…

统计方法学 · 统计学 2016-10-06 Xiang Wan , Wenqian Wang , Jiming Liu , Tiejun Tong

Selective inference aims at providing valid inference after a data-driven selection of models or hypotheses. It is essential to avoid overconfident results and replicability issues. While significant advances have been made in this area for…

统计方法学 · 统计学 2025-03-14 Matteo D'Alessandro , Magne Thoresen